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131142142113021 = 321315115923466181
BaseRepresentation
bin11101110100010111101000…
…110010111011010011111101
3122012100001210100220012122100
4131310113220302323103331
5114142113101340104041
61142525511323135313
736423464351402334
oct3564275062732375
9565301710805570
10131142142113021
11388710853994a6
1212860286074539
1358238601570c0
142455456522d1b
151026494b166b6
hex7745e8cbb4fd

131142142113021 has 48 divisors (see below), whose sum is σ = 205363210695552. Its totient is φ = 80163193968000.

The previous prime is 131142142113011. The next prime is 131142142113023. The reversal of 131142142113021 is 120311241241131.

131142142113021 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 421 + 4 + 211 + 3 + 0 + 21 = 666.

It is not a de Polignac number, because 131142142113021 - 230 = 131141068371197 is a prime.

It is a super-2 number, since 2×1311421421130212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142142113023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281078551 + ... + 281544731.

It is an arithmetic number, because the mean of its divisors is an integer number (4278400222824).

Almost surely, 2131142142113021 is an apocalyptic number.

It is an amenable number.

131142142113021 is a deficient number, since it is larger than the sum of its proper divisors (74221068582531).

131142142113021 is a wasteful number, since it uses less digits than its factorization.

131142142113021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482274 (or 482271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131142142113021 its reverse (120311241241131), we get a palindrome (251453383354152).

The spelling of 131142142113021 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred forty-two million, one hundred thirteen thousand, twenty-one".

Divisors: 1 3 9 13 39 117 151 453 1359 1963 5889 15923 17667 47769 143307 206999 466181 620997 1398543 1862991 2404373 4195629 6060353 7213119 18181059 21639357 31256849 54543177 70393331 93770547 211179993 281311641 633539979 915113303 2745339909 7423000063 8236019727 22269000189 66807000567 96499000819 289497002457 868491007371 1120873009513 3362619028539 10087857085617 14571349123669 43714047371007 131142142113021